Home / 53,842-83,368

Finding the Third Proportional to 53,842 and 83,368

Calculator

Solution

The third proportional to 53,842 and 83,368 is: 129,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842 : 83,368 = 83,368 : x
  2. Step 2: Convert to fraction form
    53,842/83,368 = 83,368/x
  3. Step 3: Cross multiply
    53,842x = 83,368 × 83,368
  4. Step 4: Simplify right side
    53,842x = 6,950,223,424
  5. Step 5: Solve for x
    x = 6,950,223,424/53,842
  6. Step 6: Final answer
    x = 129,085.54

Related Problems

Find third proportional to 26,921 and 41,684
Half scale
Find third proportional to 107,684 and 166,736
Double scale
Find third proportional to 53,844 and 83,371
Similar ratio
Find third proportional to 80,763 and 125,052
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.